12 citations · 13 across the 9 of their papers we have counts for
4 papers · 1 filter
Twisted Sectors in Calabi-Yau Type Fermat Polynomial Singularities and Automorphic Forms
Dingxin Zhang, Jie Zhou
We study one-parameter deformations of Calabi-Yau type Fermat polynomial singularities along degree-one directions. We show that twisted sectors in the vanishing cohomology are com…
Exponentially twisted de Rham cohomology and rigid cohomology
Shizhang Li, Dingxin Zhang
We prove a comparison theorem between exponentially twisted de Rham cohomology and rigid cohomology with coefficients in a Dwork crystal.
Mixed Hodge structure and Coulomb branch solution
Dan Xie, Dingxin Zhang
The Coulomb branch of four dimensional theories can be solved by finding a Seiberg-Witten (SW) geometry and a SW differential. While lots of SW geometries are found…
-adic Tautological Systems
Lei Fu, An Huang, Bong Lian +3
Tautological systems was introduced in Lian-Yau as the system of differential equations satisfied by period integrals of hyperplane sections of some complex projective homogenous v…